As I suspected those results are for Total T4 and Total T3. Those results may not accurately reflect your Free T4 and Free T3 levels at all. You need to be tested for Free T4, Free T3, cortisol, Vitamin D and ferritin. Can you get those done?
None of the info you have given so far is a reason to worry. TSH does not cause symptoms. Hypo symptoms are the result of inadequate Tissue T3 Effect. It would be unusual to only have one symptom (weight gain) if you are hypothyroid; however, you cannot know if there is a possible hypothyroid problem or not unless you get further testing done.
Do you have symptoms besides weight gain? If so, please list them. Also, please post reference ranges for those test results, as shown on the lab report.
Thyroid Stimulating Hormone (TSH) is secreted by the pituitary in response to serum thyroid hormone levels. So you cannot control TSH directly. Also, symptoms result from the actual thyroid hormone levels, not TSH.
Based on the levels you listed I suspect that your T4 and T3 tests were for Total T4 and Total T3. Those tests represent total serum levels. Most all of that is bound to protein. Only the small portions not bound to protein are biologically active. If your test results are for Total T4 and Total T3, then you need to be tested for the biologically active thyroid hormones, Free T4 and Free T3.